3. Find two numbers whose sum is 27 and product is 182
Answers
Answered by
7
Answer:
Let x and y be two numbers
Given, x+y=27 ............(1)
and xy=182 .............(2)
From (1), we get x=27−y
Put x=27−y in (2) we get,
(27−y)y=182⇒27y−y
2
=182⇒y
2
−27y+182=0
⇒(y−14)(y−13)=0
⇒y=14 or y=13
∴ if y=14 then x=13 and if y=13 then x=14
Two numbers are 13 and 14
Answered by
35
Question
- Find two numbers whose sum is 27 and product is 182?
Answer
- Required numbers are 13 and 14
Given
- Sum of two Numbers = 27
- Product = 182
To Calculate
- Numbers __?
Explanation
Sum of Two numbers = 27 ( Given )
Product of Two numbers = 182 ( Given )
Let First number be x
Second be 27-x
According to Question
➺ x(27-x) =182
➺ 27x-x²=182
➺ x²-27x+182=0
➺ x²-(13+14)x+182=0
➺ x²-13x-14x+182=0
➺ x(x-13)-14(x-13)=0
➺ (x-13)(x-14)=0
➺ x=13 , x=14
- Required numbers are 13 and 14
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